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Simplifying 5(9x + -7) + 3 = 5x + 8 Reorder the terms: 5(-7 + 9x) + 3 = 5x + 8 (-7 * 5 + 9x * 5) + 3 = 5x + 8 (-35 + 45x) + 3 = 5x + 8 Reorder the terms: -35 + 3 + 45x = 5x + 8 Combine like terms: -35 + 3 = -32 -32 + 45x = 5x + 8 Reorder the terms: -32 + 45x = 8 + 5x Solving -32 + 45x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 45x + -5x = 8 + 5x + -5x Combine like terms: 45x + -5x = 40x -32 + 40x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 40x = 8 + 0 -32 + 40x = 8 Add '32' to each side of the equation. -32 + 32 + 40x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 40x = 8 + 32 40x = 8 + 32 Combine like terms: 8 + 32 = 40 40x = 40 Divide each side by '40'. x = 1 Simplifying x = 1
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